Nonexistence of solutions to singular Q-curvature equations
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DOI: 10.1007/s00013-021-01644-7
Abstract: In this short note, we study the prescribed Q-curvature equation with a singularity at the origin in $${\mathbb {R}}^4$$ , namely, $$\begin{aligned} \Delta ^2u=(1-|x|^p)e^{4u}-c\delta _0\quad \text {in}\quad {\mathbb {R}}^4 \end{aligned}$$ under a finite volume condition,… read more here.
Keywords: nonexistence solutions; singular curvature; solutions singular; curvature equations ... See more keywords
Higher regularity of solutions of singular parabolic equations with variable nonlinearity
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DOI: 10.1080/00036811.2017.1382690
Abstract: ABSTRACT We study the global regularity of solutions of the homogeneous Dirichlet problem for the parabolic equation with variable nonlinearity where p(x, t), are given functions of their arguments, and . Conditions on the data… read more here.
Keywords: higher regularity; variable nonlinearity; regularity solutions; solutions singular ... See more keywords
Positive solutions to singular Dirichlet-type boundary value problems of nonlinear fractional differential equations
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DOI: 10.1186/s13662-018-1627-6
Abstract: In this paper, by using the properties of the Green function, u0$u_{0}$-positive operator and Gelfand’s formula, some properties of the first eigenvalue corresponding to the relevant operator are obtained. Based on these properties, the fixed… read more here.
Keywords: positive solutions; singular dirichlet; type boundary; dirichlet type ... See more keywords
Existence of Positive Solutions to Singular Boundary Value Problems Involving φ-Laplacian
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DOI: 10.3390/math7070654
Abstract: This paper is concerned with the existence of positive solutions to singular Dirichlet boundary value problems involving φ -Laplacian. For non-negative nonlinearity f = f ( t , s ) satisfying f ( t ,… read more here.
Keywords: problems involving; positive solutions; boundary value; existence positive ... See more keywords